Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15210x |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6809302514664000000 = -1 · 29 · 318 · 56 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,97371,124977685] |
[a1,a2,a3,a4,a6] |
j |
63745936931123/4251528000000 |
j-invariant |
L |
2.1661295728067 |
L(r)(E,1)/r! |
Ω |
0.18051079773389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680fq2 5070p2 76050fh2 15210bl2 |
Quadratic twists by: -4 -3 5 13 |